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Word symmetric functions and the Redfield-Pólya theorem

• J. I. Porras Luque, Ali Chouria, Jean-Paul Bultel, Olivier Mallet
• 2013

We give noncommutative versions of the Redfield-Polya theorem in WSym, the algebra of word symmetric functions, and in other related combinatorial Hopf algebras.

Algèbres de Hopf combinatoires sur les partitions d'ensembles et leurs généralisations : applications à l'énumération et à la physique théorique

• Ali Chouria
• 2016

Cette these s’inscrit dans le domaine de la combinatoire algebrique et enumerative. Elle est consacree a l’etude des problemes d’enumeration en utilisant des algebres de Hopf combinatoires, en… (More)

Word symmetric functions and the Redfield-P\'olya

• J. I. Porras Luque, Ali Chouria, Jean-Paul Bultel, Olivier Mallet
• 2013

We give noncommutative versions of the Redfield-P\'olya theorem in WSym, the algebra of word symmetric functions, and in other related combinatorial Hopf algebras.

Redfield-Pólya theorem in WSym

• Jean-Paul Bultel, Ali Chouria, J. I. Porras Luque, Olivier Mallet
• 2013

We give noncommutative versions of the Redfield-Polya theorem in WSym , the algebra of word symmetric functions, and in other related combinatorial Hopf algebras. Resume. Nous donnons des versions… (More)

A combinatorial Hopf algebra for the boson normal ordering problem

• Imad Eddine Bousbaa, Ali Chouria, J. I. Porras Luque
• 2015

In the aim to understand the generalization of Stirling numbers occurring in the bosonic normal ordering problem, several combinatorial models have been proposed. In particular, Blasiak \emph{et al.}… (More)

Bell polynomials in combinatorial Hopf algebras

• Ammar Aboud, Jean-Paul Bultel, Ali Chouria, J. I. Porras Luque, Olivier Mallet
• 2014

Partial multivariate Bell polynomials have been de ned by E.T. Bell in 1934. These polynomials have numerous applications in Combinatorics, Analysis, Algebra, Probabilities etc. Many of the formulæ… (More)

r-Bell polynomials in combinatorial Hopf algebras

• Ali Chouria, Jean-Gabriel Luque
• ArXiv
• 2016

Partial multivariate Bell polynomials have been defined by E.T. Bell in 1934. These polynomials have numerous applications in Combinatorics, Analysis, Algebra, Probabilities, etc. Many of the… (More)

Redfield-Pólya theorem in $\mathrm{WSym}$

• Jean-Paul Bultel, Ali Chouria, J. I. Porras Luque, Olivier Mallet
• 2013

We give noncommutative versions of the Redfield-Polya theorem in $\mathrm{WSym}$, the algebra of word symmetric functions, and in other related combinatorial Hopf algebras.